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Finding the Third Proportional to 119,668 and 251,720

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Solution

The third proportional to 119,668 and 251,720 is: 529,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668 : 251,720 = 251,720 : x
  2. Step 2: Convert to fraction form
    119,668/251,720 = 251,720/x
  3. Step 3: Cross multiply
    119,668x = 251,720 × 251,720
  4. Step 4: Simplify right side
    119,668x = 63,362,958,400
  5. Step 5: Solve for x
    x = 63,362,958,400/119,668
  6. Step 6: Final answer
    x = 529,489.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.